cp's OEIS Frontend

A351066 Sums of three perfect powers with different exponents: m = a^x + b^y + c^z with a > 0, b > 0, c > 0, x > 1, y > 1, z > 1 and x, y, z are all different, with m not representable with fewer such addends.

%I A351066 #28 Mar 02 2022 15:57:43
%S A351066 3,6,11,18,21,34,45,56,69,74,75,84,93,98,105,112,123,124,131,138,143,
%T A351066 146,149,154,159,166,173,178,187,190,191,194,203,210,213,214,215,218,
%U A351066 219,222,227,234,235,236,239,240,245,254,255,258,261,262,263,266,267,274,275,276
%N A351066 Sums of three perfect powers with different exponents: m = a^x + b^y + c^z with a > 0, b > 0, c > 0, x > 1, y > 1, z > 1 and x, y, z are all different, with m not representable with fewer such addends.
%e A351066 3 is a term as 3 = 1^2 + 1^3 + 1^4.
%e A351066 6 is a term as 6 = 2^2 + 1^3 + 1^4.
%e A351066 18 is a term. The possibilities are 1^2 + 1^3 + 2^4 or 3^2 + 2^3 + 1^4 or 4^2 + 1^3 + 1^4 (considering only minimal possible exponents for bases equal to 1).
%Y A351066 Cf. A074499, A351062, A351063.
%K A351066 nonn
%O A351066 1,1
%A A351066 _Alberto Zanoni_, Jan 31 2022
%E A351066 Definition clarified by _Alberto Zanoni_, Feb 28 2022